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4409639472 = 2437191096337
BaseRepresentation
bin1000001101101010…
…11100001000110000
3102101022111220011110
410012311130020300
533012331430342
62005321513320
7214163213520
oct40665341060
912338456143
104409639472
111963143447
12a30942840
13553759734
142db907680
151ac1dec9c
hex106d5c230

4409639472 has 160 divisors (see below), whose sum is σ = 13832051200. Its totient is φ = 1182449664.

The previous prime is 4409639467. The next prime is 4409639483. The reversal of 4409639472 is 2749369044.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692688 + ... + 699024.

It is an arithmetic number, because the mean of its divisors is an integer number (86450320).

Almost surely, 24409639472 is an apocalyptic number.

4409639472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4409639472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6916025600).

4409639472 is an abundant number, since it is smaller than the sum of its proper divisors (9422411728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4409639472 is a wasteful number, since it uses less digits than its factorization.

4409639472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6483 (or 6477 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 4409639472 is about 66405.1163089110. The cubic root of 4409639472 is about 1639.8383084690.

The spelling of 4409639472 in words is "four billion, four hundred nine million, six hundred thirty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 109 112 114 133 152 168 218 228 266 304 327 336 399 436 456 532 654 763 798 872 912 1064 1308 1526 1596 1744 2071 2128 2289 2616 3052 3192 4142 4578 5232 6104 6213 6337 6384 8284 9156 12208 12426 12674 14497 16568 18312 19011 24852 25348 28994 33136 36624 38022 43491 44359 49704 50696 57988 76044 86982 88718 99408 101392 115976 120403 133077 152088 173964 177436 231952 240806 266154 304176 347928 354872 361209 481612 532308 690733 695856 709744 722418 842821 963224 1064616 1381466 1444836 1685642 1926448 2072199 2129232 2528463 2762932 2889672 3371284 4144398 4835131 5056926 5525864 5779344 6742568 8288796 9670262 10113852 11051728 13123927 13485136 14505393 16577592 19340524 20227704 26247854 29010786 33155184 38681048 39371781 40455408 52495708 58021572 77362096 78743562 91867489 104991416 116043144 157487124 183734978 209982832 232086288 275602467 314974248 367469956 551204934 629948496 734939912 1102409868 1469879824 2204819736 4409639472